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Simplifying 11(4x + -9) + 8 = 10x + -6 Reorder the terms: 11(-9 + 4x) + 8 = 10x + -6 (-9 * 11 + 4x * 11) + 8 = 10x + -6 (-99 + 44x) + 8 = 10x + -6 Reorder the terms: -99 + 8 + 44x = 10x + -6 Combine like terms: -99 + 8 = -91 -91 + 44x = 10x + -6 Reorder the terms: -91 + 44x = -6 + 10x Solving -91 + 44x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -91 + 44x + -10x = -6 + 10x + -10x Combine like terms: 44x + -10x = 34x -91 + 34x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 -91 + 34x = -6 + 0 -91 + 34x = -6 Add '91' to each side of the equation. -91 + 91 + 34x = -6 + 91 Combine like terms: -91 + 91 = 0 0 + 34x = -6 + 91 34x = -6 + 91 Combine like terms: -6 + 91 = 85 34x = 85 Divide each side by '34'. x = 2.5 Simplifying x = 2.5
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